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Finding the Third Proportional to 503,632.13 and 1,081,806.75

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Solution

The third proportional to 503,632.13 and 1,081,806.75 is: 2,323,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,632.13 : 1,081,806.75 = 1,081,806.75 : x
  2. Step 2: Convert to fraction form
    503,632.13/1,081,806.75 = 1,081,806.75/x
  3. Step 3: Cross multiply
    503,632.13x = 1,081,806.75 × 1,081,806.75
  4. Step 4: Simplify right side
    503,632.13x = 1,170,305,844,345.56
  5. Step 5: Solve for x
    x = 1,170,305,844,345.56/503,632.13
  6. Step 6: Final answer
    x = 2,323,731.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.